Answer:
T
Step-by-step explanation:
Here three sides of a right angled triangle given.
The three sides are b, 8 and 14.
The side with length 14 is the hypotenuse here. We have to find the side of length b.
To get b, we will use Pythagoras theorem here.
By using Pythagoras theorem we can write,
, where c is the hypotenuse.
So here we can write,



To solve it for b, now we have to move 64 to the left side by subtracting it from both sides.



Now to find b, we have to take square root to both sides. We will get,





We have got the required answer for the side b.
Answer:
Step-by-step explanation:
Given that the number of a certain type of bacteria increases continuously at a rate proportional to the number present.
Initial population = 150
Hence equation for population P would be
where t = time in hours
When t=5, P = 450
Substitute to get
k=0.2197
is P(t)
P will double when
t =3.155
Between 3rd and 4th it would double
c) Yes it doubles when 3.155 hours lapsed from the start time since t in the equation is time lapsed from start time.
Answer:
C; It would become wider due to using the z-distribution
Step-by-step explanation:
Mathematically, we go on to look at the formula for confidence interval calculations here
The formula involves multiplying z by the s
which is the z-value and the standard deviation
Increasing the standard deviation value means we are increasing the product of multiplying z and s
This means that we are getting a larger value for the multiplication
Thus, we now have a wider confidence interval value as a result of a larger product
So this means that the CI would become wider due to the usage of the z-distribution